Search Results - "Chada, Neil K"
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1
Cauchy Markov random field priors for Bayesian inversion
Published in Statistics and computing (15-04-2022)“…The use of Cauchy Markov random field priors in statistical inverse problems can potentially lead to posterior distributions which are non-Gaussian,…”
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2
Multilevel estimation of normalization constants using ensemble Kalman–Bucy filters
Published in Statistics and computing (01-06-2022)“…In this article we consider the application of multilevel Monte Carlo, for the estimation of normalizing constants. In particular we will make use of the…”
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3
A Review of the EnKF for Parameter Estimation
Published 26-07-2022“…The ensemble Kalman filter is a well-known and celebrated data assimilation algorithm. It is of particular relevance as it used for high-dimensional problems,…”
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4
Unbiased Approximations for Stationary Distributions of McKean-Vlasov SDEs
Published 17-11-2024“…We consider the development of unbiased estimators, to approximate the stationary distribution of Mckean-Vlasov stochastic differential equations (MVSDEs)…”
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5
Learning dynamical systems from data: Gradient-based dictionary optimization
Published 07-11-2024“…The Koopman operator plays a crucial role in analyzing the global behavior of dynamical systems. Existing data-driven methods for approximating the Koopman…”
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6
A Statistical Framework and Analysis for Perfect Radar Pulse Compression
Published 15-08-2023“…Perfect radar pulse compression coding is a potential emerging field which aims at providing rigorous analysis and fundamental limit radar experiments. It is…”
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7
The Stochastic Steepest Descent Method for Robust Optimization in Banach Spaces
Published 11-08-2023“…Stochastic gradient methods have been a popular and powerful choice of optimization methods, aimed at minimizing functions. Their advantage lies in the fact…”
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8
Sampling from Bayesian Neural Network Posteriors with Symmetric Minibatch Splitting Langevin Dynamics
Published 14-10-2024“…We propose a scalable kinetic Langevin dynamics algorithm for sampling parameter spaces of big data and AI applications. Our scheme combines a symmetric…”
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9
A Stochastic Iteratively Regularized Gauss-Newton Method
Published 18-09-2024“…This work focuses on developing and motivating a stochastic version of a wellknown inverse problem methodology. Specifically, we consider the iteratively…”
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10
Unbiased Estimation of the Vanilla and Deterministic Ensemble Kalman-Bucy Filters
Published 08-08-2022“…In this article we consider the development of an unbiased estimator for the ensemble Kalman--Bucy filter (EnKBF). The EnKBF is a continuous-time filtering…”
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11
Unbiased Estimation using Underdamped Langevin Dynamics
Published 14-06-2022“…In this work we consider the unbiased estimation of expectations w.r.t.~probability measures that have non-negative Lebesgue density, and which are known…”
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12
The Ensemble Kalman Filter for Dynamic Inverse Problems
Published 22-01-2024“…In inverse problems, the goal is to estimate unknown model parameters from noisy observational data. Traditionally, inverse problems are solved under the…”
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13
Unbiased Kinetic Langevin Monte Carlo with Inexact Gradients
Published 08-11-2023“…We present an unbiased method for Bayesian posterior means based on kinetic Langevin dynamics that combines advanced splitting methods with enhanced gradient…”
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14
Unbiased Estimation of the Hessian for Partially Observed Diffusions
Published 06-09-2021“…In this article we consider the development of unbiased estimators of the Hessian, of the log-likelihood function with respect to parameters, for partially…”
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15
Multilevel Estimation of Normalization Constants Using the Ensemble Kalman-Bucy Filter
Published 09-08-2021“…In this article we consider the application of multilevel Monte Carlo, for the estimation of normalizing constants. In particular we will make use of the…”
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16
Cauchy Markov Random Field Priors for Bayesian Inversion
Published 26-05-2021“…The use of Cauchy Markov random field priors in statistical inverse problems can potentially lead to posterior distributions which are non-Gaussian,…”
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17
A Data-Adaptive Prior for Bayesian Learning of Kernels in Operators
Published 28-12-2022“…Kernels are efficient in representing nonlocal dependence and they are widely used to design operators between function spaces. Thus, learning kernels in…”
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18
Bayesian inversion with {\alpha}-stable priors
Published 11-12-2022“…We propose to use L\'evy {\alpha}-stable distributions for constructing priors for Bayesian inverse problems. The construction is based on Markov fields with…”
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19
Analysis of Hierarchical Ensemble Kalman Inversion
Published 02-01-2018“…We discuss properties of hierarchical Bayesian inversion through the ensemble Kalman filter (EnKF). Our focus will be primarily on deriving continuous-time…”
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20
On a Dynamic Variant of the Iteratively Regularized Gauss-Newton Method with Sequential Data
Published 27-07-2022“…For numerous parameter and state estimation problems, assimilating new data as they become available can help produce accurate and fast inference of unknown…”
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